MA34-05 Maths Coming soon
Expected frequency: probability times number of trials
MA34-05
This lesson is coming soon.
In this lesson
Calculate an expected frequency for a set number of future trials by multiplying a probability (or relative frequency) by the number of trials, giving the answer as a whole-number count.
What it covers
- The formula: expected frequency = probability (or relative frequency) x number of trials
- Working from a theoretical probability (e.g. 1/6 for a die) to an expected count over many trials
- Working from a relative frequency estimate to an expected count over future trials
- Always completing the arithmetic to the requested whole-number count, not stopping at the probability/relative-frequency value
- Rounding an expected frequency sensibly where the multiplication does not give a whole number
Key words
For: AQA GCSE 8300, Edexcel GCSE 1MA1, Eduqas GCSE C300, OCR GCSE J560, Edexcel IGCSE 4MA1, Cambridge IGCSE 0580
On the specification
| Board | Spec | Statement |
|---|---|---|
| AQA GCSE 8300 | P2 | Apply ideas of randomness, fairness and equally likely events to calculate expected outcomes of multiple future experiments |
| Edexcel GCSE 1MA1 | P2 | Apply ideas of randomness, fairness and equally likely events to calculate expected outcomes of multiple future experiments |
| Eduqas GCSE C300 | FP2 | Apply ideas of randomness, fairness and equally likely events to calculate expected outcomes of multiple future experiments |
| Eduqas GCSE C300 | HP2 | Apply ideas of randomness, fairness and equally likely events to calculate expected outcomes of multiple future experiments |
| OCR GCSE J560 | 11.01d | Calculate probabilities, expressed as fractions or decimals, in simple experiments with equally likely outcomes, for example flipping coins, rolling dice, etc. Apply ideas of randomness and fairness in simple experiments. Calculate probabilities of simple combined events, for example rolling two dice and looking at the totals. Use probabilities to calculate the number of expected outcomes in repeated experiments. |
| Edexcel IGCSE 4MA1 | F6.3J | Understand and use the term 'expected frequency' |
| Cambridge IGCSE 0580 | C8.2 | Understand relative frequency as an estimate of probability. |
| Cambridge IGCSE 0580 | E8.2 | Understand relative frequency as an estimate of probability. |
For teachers
This GCSE Maths lesson teaches expected frequency: probability times number of trials. By the end, students should be able to calculate an expected frequency for a set number of future trials by multiplying a probability (or relative frequency) by the number of trials, giving the answer as a whole-number count. It works through two worked examples and the mistakes examiners report.